Calculus is the mathematics of change – velocities and accelerations. Calculus is also the mathematics of tangent lines, slopes, areas, volumes, arc lengths, centroids, curvatures, and a variety of other concepts that have enabled scientists, engineers, and economists to model real – life situations. Although precalculus mathematics also deals with velocities, accelerations, tangent lines, slopes, and so on, there is a fundamental difference between precalculus mathematics and calculus. Precalculus mathematics is static, whereas calculus is more dynamic. The idea that separates calculus from precalculus mathematics is the limit process. You may or may not have already studied some limit properties. We will begin with those ideas and build upon them to lead us to a new calculus formulation, such as derivatives and integrals.